Write An Equation From A Graph Problems

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#1 of 8: Mild

Write an equation from a graph

<LineGraph data-props='{ "options": { "x_min": -1, "y_min": -1, "y_max": 10, "x_max": 10, "cell_size": 20, "x_interval": 1, "y_interval": 1, "x_label": "", "y_label": "", "x_axis_name": "x", "y_axis_name": "y" }, "points": [ { "id": 0, "x": 0, "y": 2,"show_point": true, "highlight_point": true, "highlight_point_color": "black" }, { "id": 1, "x": 2, "y": 3, "show_point": true, "highlight_point": true, "highlight_point_color": "black" }, { "id": 2, "x": 4, "y": 4, "show_point": true, "highlight_point": true, "highlight_point_color": "black" }, { "id": 3, "x": 6, "y": 5, "show_point": true, "highlight_point": true, "highlight_point_color": "black" }, { "id": 4, "x": 8, "y": 6, "show_point": true, "highlight_point": true, "highlight_point_color": "black" }, { "id": 5, "x": -1, "y": 1.5 }, { "id": 6, "x": 10, "y": 7 } ], "line_segments": [ { "first_point_id": 5, "second_point_id": 6, "show_start_arrow": true, "show_end_arrow": true, "highlight_line": "black" } ], "legend_options": {}}'></LineGraph ><p>What is the equation of the line graphed above? <br><highlight data-color="#666" data-style="italic">Write your answer in slope-intercept form using integers and/or simplified fractions.</highlight><p>

#2 of 8: Medium

Write an equation from a graph

<LineGraph data-props='{ "options": { "x_min": -4, "y_min": -8, "y_max": 3, "x_max": 8, "cell_size": 20, "x_interval": 1, "y_interval": 1, "x_label": "", "y_label": "", "x_axis_name": "x", "y_axis_name": "y" }, "points": [ { "id": 0, "x": -4, "y": -8 }, { "id": 1, "x": 8, "y": 1 } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 1, "show_start_arrow": true, "show_end_arrow": true, "highlight_line": "black" } ], "legend_options": {}}'></LineGraph ><p>What is the equation of the line graphed above? <br><highlight data-color="#666" data-style="italic">Write your answer in slope-intercept form using integers and/or simplified fractions.</highlight><p>

#3 of 8: Medium

Write an equation from a graph

<LineGraph data-props='{ "options": { "x_min": -4, "y_min": -3, "y_max": 8, "x_max": 4, "cell_size": 20, "x_interval": 1, "y_interval": 1, "x_label": "", "y_label": "", "x_axis_name": "x", "y_axis_name": "y" }, "points": [ { "id": 0, "x": -1.25, "y": 8 }, { "id": 1, "x": 1.5, "y": -3 } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 1, "show_start_arrow": true, "show_end_arrow": true, "highlight_line": "black" } ], "legend_options": {}}'></LineGraph ><p>What is the equation of the line graphed above? <br><highlight data-color="#666" data-style="italic">Write your answer in slope-intercept form using integers and/or simplified fractions.</highlight><p>

#4 of 8: Medium

Write an equation from a graph

<LineGraph data-props='{ "options": { "x_min": -6, "y_min": -5, "y_max":3, "x_max": 5, "cell_size": 20, "x_interval": 1, "y_interval": 1, "x_label": "", "y_label": "", "x_axis_name": "x", "y_axis_name": "y" }, "points": [ { "id": 0, "x": -6, "y": 0.2 }, { "id": 1, "x": 5, "y": -2 } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 1, "show_start_arrow": true, "show_end_arrow": true, "highlight_line": "black" } ], "legend_options": {}}'></LineGraph ><p>What is the equation of the line graphed above? <br><highlight data-color="#666" data-style="italic">Write your answer in slope-intercept form using integers and/or simplified fractions.</highlight><p>

#5 of 8: Medium

Write an equation from a graph

<LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max":90, "x_max": 90, "cell_size": 20, "x_interval": 10,"x_skip_interval": 20 , "y_interval": 10, "y_skip_interval": 20, "x_label": "", "y_label": "", "x_axis_name": "x", "y_axis_name": "y" }, "points": [ { "id": 0, "x": -10, "y": 22.85 }, { "id": 1, "x": 84, "y": 90 } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 1, "show_start_arrow": true, "show_end_arrow": true, "highlight_line": "black" } ], "legend_options": {}}'></LineGraph ><p>What is the equation of the line graphed above? <br><highlight data-color="#666" data-style="italic">Write your answer in slope-intercept form using integers and/or simplified fractions.</highlight><p>

#6 of 8: Spicy

Write an equation from a graph

<LineGraph data-props='{ "options": { "x_min": -14, "y_min": -8, "y_max":14, "x_max": 10, "cell_size": 20, "x_skip_interval": 4, "x_interval": 2, "y_interval": 2, "y_skip_interval": 4, "x_label": "", "y_label": "", "x_axis_name": "x", "y_axis_name": "y" }, "points": [ { "id": 0, "x": 8, "y": -8 }, { "id": 1, "x": -3, "y": 14 } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 1, "show_start_arrow": true, "show_end_arrow": true, "highlight_line": "black" } ], "legend_options": {}}'></LineGraph ><p>What is the equation of the line graphed above? <br><highlight data-color="#666" data-style="italic">Write your answer in slope-intercept form using integers and/or simplified fractions.</highlight><p>

#7 of 8: Spicy

Write an equation from a graph

<LineGraph data-props='{ "options": { "x_min": -2, "y_min": -20, "y_max":200, "x_max": 20, "cell_size": 20, "x_interval": 2,"x_skip_interval": 4 , "y_interval": 20, "y_skip_interval": 40, "x_label": "", "y_label": "", "x_axis_name": "x", "y_axis_name": "y" }, "points": [ { "id": 0, "x": -2, "y": 150 }, { "id": 1, "x": 20, "y": 40 } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 1, "show_start_arrow": true, "show_end_arrow": true, "highlight_line": "black" } ], "legend_options": {}}'></LineGraph ><p>What is the equation of the line graphed above? <br><highlight data-color="#666" data-style="italic">Write your answer in slope-intercept form using integers and/or simplified fractions.</highlight><p>

#8 of 8: Spicy

Write an equation from a graph

<LineGraph data-props='{ "options": { "x_min": -2, "y_min": -20, "y_max":200, "x_max": 20, "cell_size": 20, "x_interval": 2,"x_skip_interval": 4 , "y_interval": 20, "y_skip_interval": 40, "x_label": "", "y_label": "", "x_axis_name": "x", "y_axis_name": "y" }, "points": [ { "id": 0, "x": -2, "y": 36 }, { "id": 1, "x": 20, "y": 80 } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 1, "show_start_arrow": true, "show_end_arrow": true, "highlight_line": "black" } ], "legend_options": {}}'></LineGraph ><p>What is the equation of the line graphed above? <br><highlight data-color="#666" data-style="italic">Write your answer in slope-intercept form using integers and/or simplified fractions.</highlight><p>

To create an equation from a graph, at least three coordinates of the line are found out of which two points are used to determine the slope, then on the basis of slope and y-intercept(value of y, where x = 0) an equation is derived. When students practice write an equation from a graph Problems, they develop more robust analytical skills and data interpretation knowledge.

 

These problems can be circulated by the teacher in the classroom to polish student’s observation skills and enhance their logical thinking. You can also try...

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Grade 8
Linear Relationships And Functions
8.F.B.4

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What teachers are saying about BytelearnWhat teachers are saying

stephan.png
Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
jennifer.png
Jennifer Maschino
4-year math teacher
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
rodolpho.png
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”